# Antifragile Random Walks

A million timesteps with a Pareto distribution with $latex \alpha =1$ and mode shifted down to $latex -11$ from $latex 1$. Notice how for most time steps, the walk moves downward. However, the rarer upticks are large, orders of magnitude larger than downward movements.

In [1]:
T = 1000000
X = np.zeros(T)

for i in range(5):
for t in range(T-1):
X[t+1] = X[t] + np.random.pareto(1) - 12

plt.plot(X)
plt.show()